20732800 has 192 divisors, whose sum is σ = 60710400. Its totient is φ = 6912000.

The previous prime is 20732797. The next prime is 20732813. The reversal of 20732800 is 823702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668785 + ... + 668815.

It is an arithmetic number, because the mean of its divisors is an integer number (316200).

Almost surely, 2^20732800 is an apocalyptic number.

20732800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

20732800 is an abundant number, since it is smaller than the sum of its proper divisors (39977600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20732800 is a wasteful number, since it uses less digits than its factorization.

20732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 20732800 is about 4553.3284529012. The cubic root of 20732800 is about 274.7172852112.

The spelling of 20732800 in words is "twenty million, seven hundred thirty-two thousand, eight hundred".